Solve (490/3+2/3+2)*1/3+2

$$( \frac { \frac { 490 } { 3 } + 2 } { 3 } + 2 ) \times \frac { 1 } { 3 } + 2$$

Evaluate

$$\frac{568}{27}\approx 21.037037037$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$\left(\frac{\frac{490}{3}+\frac{6}{3}}{3}+2\right)\times \frac{1}{3}+2$$

Since \frac{490}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\left(\frac{\frac{490+6}{3}}{3}+2\right)\times \frac{1}{3}+2$$

Add 490 and 6 to get 496.

$$\left(\frac{\frac{496}{3}}{3}+2\right)\times \frac{1}{3}+2$$

Express \frac{\frac{496}{3}}{3} as a single fraction.

$$\left(\frac{496}{3\times 3}+2\right)\times \frac{1}{3}+2$$

Multiply 3 and 3 to get 9.

$$\left(\frac{496}{9}+2\right)\times \frac{1}{3}+2$$

Convert 2 to fraction \frac{18}{9}.

$$\left(\frac{496}{9}+\frac{18}{9}\right)\times \frac{1}{3}+2$$

Since \frac{496}{9} and \frac{18}{9} have the same denominator, add them by adding their numerators.

$$\frac{496+18}{9}\times \frac{1}{3}+2$$

Add 496 and 18 to get 514.

$$\frac{514}{9}\times \frac{1}{3}+2$$

Multiply \frac{514}{9} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{514\times 1}{9\times 3}+2$$

Do the multiplications in the fraction \frac{514\times 1}{9\times 3}.

$$\frac{514}{27}+2$$

Convert 2 to fraction \frac{54}{27}.

$$\frac{514}{27}+\frac{54}{27}$$

Since \frac{514}{27} and \frac{54}{27} have the same denominator, add them by adding their numerators.

$$\frac{514+54}{27}$$

Add 514 and 54 to get 568.

$$\frac{568}{27}$$

Factor

$$\frac{2 ^ {3} \cdot 71}{3 ^ {3}} = 21\frac{1}{27} = 21.037037037037038$$